Write and solve an equation that represents the following:

Thirty less than a number is equal to twelve.

Answer:

11 hours

Step-by-step explanation:

To find how many hours it took, divide -33 by -3

-33/-3

= 11

So, it took 11 hours for the change to be -33°F

Answer:

C

Step-by-step explanation:

Answer:

[tex]7\frac{11}{35}[/tex]

Step-by-step explanation:

[tex]2\frac{5}{7}+4\frac{3}{5}[/tex]

add the whole numbers

[tex]2+4=6[/tex]

combine the fractions

[tex]\frac{5}{7}+\frac{3}{5}[/tex]

LCM is 35 because 7 * 5 =35

[tex]\frac{5}{7}=\frac{5\cdot \:5}{7\cdot \:5}=\frac{25}{35}[/tex]

[tex]\frac{3}{5}=\frac{3\cdot \:7}{5\cdot \:7}=\frac{21}{35}[/tex]

[tex]\frac{25}{35}+\frac{21}{35}=\frac{25+21}{35}[/tex]

[tex]=\frac{46}{35}[/tex]

change the improper fraction into mixed number

[tex]6+1\frac{11}{35}[/tex]

[tex]=7\frac{11}{35}[/tex]

Answer:

The following characteristics of experiments are not also characteristics of surveys:

- The first one is B. The study compares two or more treatments (possibly including "no treatment").

- The other one is D. The study involves one or more treatment groups and a control group.

Step-by-step explanation:

surveys are tested with one group

The two options are B) and C) because they are characteristics of science.

The main characteristics of surveys are as follows:

1.measurable survey objectives.

2.sound research design.

3.effective survey question design.

4.sound sampling strategy, when needed.

5.effective survey response strategy.

6.meaningful data summary.

7.effective data display and reporting.

Given: In the option A and B talk about surveys but the other two options are characteristics of science.

Hence, The two options are B) and C) because they are characteristics of science.

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Answer:

√64 = rational

Step-by-step explanation:

√64 = 8

8 = 8/1 = rational

Answer: The number 64 is an irrational number.

Step-by-step explanation:

Answer:

y=8.4

Step-by-step explanation:

inverse proportion means y=k/x

k is the constant

y=12, x=7

k=xy ⇒7*12=84

y=84/x

y=84/10

y=8.4

As y varies inversely with x the value of y is 42/5 when x is 10.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, y varies inversely with x.

∴ y = k/x.

12 = k/7.

k = 84.

Now, x = 10.

∴ y = 84/10.

y = 42/5.

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Answer:

3.5

Step-by-step explanation:

The constant of proportionality is the slope of the line

slope = [tex]\frac{rise}{run}[/tex] = [tex]\frac{3.5}{1}[/tex] = 3.5

Answer:

3.5

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Q1. when 3b-4a is evaluated for a=0.5 and b=-0.333333333. what is the answer?

[tex]3b-4a, a=0.5 \text{ and } b=-0.333333...[/tex]

Once

[tex]$-0.3333333... = -\frac{1}{3} \text{ and } 0.5=\frac{1}{2} $[/tex]

[tex]$3\cdot \left(-\frac{1}{3}\right) - 4 \cdot \frac{1}{2} = -1 - 2 =\boxed{-3}$[/tex]

Q2. solution for equation  

[tex]5(x+1)-3(3x-1)=15(x-2)[/tex]

[tex]5x+5-9x+3 = 15x-30[/tex]

[tex]-4x+8 = 15x-30[/tex]

[tex]38 = 19x[/tex]

[tex]$x=\frac{38}{19} = \boxed{2}$[/tex]

Q3. which is not equivalent to [tex]4(2x-1)=3(x+1)-2[/tex]

Just try all the values.

None of them makes the equation equivalent.

[tex]8x-4=3x+1-2[/tex]

[tex]5x=5[/tex]

[tex]\boxed{x=1}[/tex]

Q4. if a<0 and b<0 which of the following is not positive

B. a+b

[tex]a<0 \implies \text{a is negative}[/tex]

[tex]b<0 \implies \text{b is negative}[/tex]

[tex]a \cdot b \implies \text{positive value}[/tex]

[tex]$\frac{a}{b} \implies \text{positive number}$[/tex]

[tex]a:b \text{ is just another notation for division}[/tex]

[tex]a+b \implies \text{negative number}[/tex]

Answer:

1000 times greater.

Step-by-step explanation:

10^9 / 10*6

= 10^(9-6)

= 10^3

= 1000.

Answer:

just took the test answer is C

Step-by-step explanation:

Answer:

-4w = 24 then

w = -6

Step-by-step explanation:

Answer:

w = -6

Step-by-step explanation:

Solve for w:

-4 w = 24

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -4 w = 24 by -4:

(-4 w)/(-4) = 24/(-4)

Hint: | Any nonzero number divided by itself is one.

(-4)/(-4) = 1:

w = 24/(-4)

Hint: | Reduce 24/(-4) to lowest terms. Start by finding the GCD of 24 and -4.

The gcd of 24 and -4 is 4, so 24/(-4) = (4×6)/(4 (-1)) = 4/4×6/(-1) = 6/(-1):

w = 6/(-1)

Hint: | Simplify the sign of 6/(-1).

Multiply numerator and denominator of 6/(-1) by -1:

Answer: w = -6

Answer:

a and c are vertical angles

b and d are vertical angles

Step-by-step explanation:

Vertical angles are angles formed from the same lines, sharing the same vertex and opposite each other

a and c are vertical angles

b and d are vertical angles

Answer:

a and c are vertical angles

b and d are vertical angle

Step-by-step explanation:

Answer:

128

Step-by-step explanation:

6 / 3 + 32 * 4 - 2.

We first calculate 6/3 and 32 * 4:

6 / 3 = 2

32 * 4  = 128

Our expression then becomes 2 + 128 - 2.

We can evaluate, getting 128.

Answer:

36

Step-by-step explanation:

6 ÷ 3 + 3^2 · 4 − 2

= 2 + 9 · 4 - 2

= 2 + 36 - 2

= 38 - 2

= 36

Answer:

{x,y}={−5,−7}

Explain:

// Solve equation [2] for the variable  y [2]    3y = 7x + 14 [2]    y = 7x/3 + 14/3 // Plug this in for variable  y  in equation [1] [1]    8x - 3•(7x/3+14/3) = -19 [1]    x = -5 // Solve equation [1] for the variable  x [1]    x = - 5 // By now we know this much : x = -5 y = 7x/3+14/3 // Use the  x  value to solve for  y y = (7/3)(-5)+14/3 = -7 Solution : {x,y} = {-5,-7}

Hoped I helped

Answer:

Input:

f(x, y) = x^2 - y^2

Geometric figure:

hyperbolic paraboloid

3D plot:

3D plot

Contour plot:

Contour plot

Alternate form:

f(x, y) = (x - y) (x + y)

Alternate form assuming x and y are positive:

x^2 = f(x, y) + y^2

Properties as a function:

Domain

R^2

Range

R (all real numbers)

Parity

even

Partial derivatives:

d/dx(x^2 - y^2) = 2 x

d/dy(x^2 - y^2) = -2 y

Indefinite integral assuming all variables are real:

integral(x^2 - y^2) dx = x^3/3 - x y^2 + constant

Answer:

2.75, and - 2.75

Step-by-step explanation:

Both have an absolute value of 2.75 which is how far away they are from 0.

Hope this helped!

Answer:  

part 1 : 41f[tex]t^{2}[/tex]

part 2: 87f[tex]t^{2}[/tex]

Step-by-step explanation:

part 1 : 8*2=16      1*10=10         10*3*1/2 = 15

16+10+15= 41f[tex]t^{2}[/tex]

part 2:      16*2= 32         2*8= 16            1*6=6         3*6=18    10*3*1/2 =15

32+16+6+18+15= 87f[tex]t^{2}[/tex]

Answer:

Step-by-step explanation:

Answer:

17. xy + z = 51

18 yz - x = 18

21. 5z + ( y - x ) = 20

22. 5x - ( y2 - 4x ) = -10

23 . x2 + y2 - 10z = 70

24. z3 + ( y2 - 4x ) = 1

25. y + xz / 2

26 .3y + x2 / z = 30

Step-by-step explanation:

17.(6 x 8)+3=

    48+3=51

18.(8 x 3)- 6 =

     24 - 6 = 18

21. 15 + ( 8 - 3 )

      15 + 5=

        20

22 .30 - (64 - 24)=

      30 - 40=

       -10

23. 36 + 64 - 30

      100 - 30

        70

24.  9 + (16 - 24 )=

       9 + -8 =

        1

25. 8 + 48 / 2

      56 / 2

       28

26. 24+ 36/3

      60/3=

       30

Answer:

Step-by-step explanation:

f(x) = - x + 6

g(x) = 4x - 6

In order to find g(f(x)) substitute f(x) into g(x) that's for every x in g(x) replace it with f(x)

That's

We have the final answer as

Hope this helps you

Answer:

1. [tex]x = \pm 5[/tex]

2. [tex]x = \pm i[/tex]

3. [tex]x = 5, -4[/tex]

Step-by-step explanation:

1.

[tex]x^2-25=0[/tex]

[tex]x^2 = 25[/tex]

[tex]x = \pm \sqrt{25}[/tex]

[tex]x = \pm 5[/tex]

2.

[tex]x^2 + 1 = 0[/tex]

[tex]x^2 = -1[/tex]

[tex]x = \pm \sqrt{x-1}[/tex]

[tex]x = \pm i[/tex]

3.

[tex]x^2=x+20[/tex]

[tex]x^2 - x - 20 = 0[/tex]

[tex](x-5)(x+4)=0[/tex]

[tex]x = 5, -4[/tex]

Answer:

6.5

Step-by-step explanation:

5.5x5.5= 30.25.        30.25 divide 30 and 25 by 5 then you get 6.5

Answer:

h(8)=-67

Step-by-step explanation:

We know that x=8 so we solve the solution on the right by replacing x with 8

5-9*8

5-72

-67

So h(8)=-67

Answer:The answer is 79

Step-by-step explanation:

Answer:   [tex]\dfrac{1}{3}[/tex].

Step-by-step explanation:

Experimental probability = [tex]\dfrac{favorable\ outcomes}{Total\ outcomes}[/tex]

Given: Total pieces of fruit = 18  (Total outcomes)

Number of oranges = 6 (Favorable )

Then, the experimental probability that the nest piece of fruit Albert sells will be an orange = [tex]\dfrac{6}{18}[/tex]   [By formula of experimental probability]

[tex]=\dfrac{1}{3}[/tex]

Hence, the required probability is [tex]\dfrac{1}{3}[/tex].

Answer:

D

Step-by-step explanation:

So we have the equation:

[tex]A=\frac{1}{2}(12)(3+7)[/tex]

And we want to find out which of the answer choices is not equivalent.

Thus, let's go through each of the choices.

A)

We have:

[tex]\frac{12(3+7)}{2}[/tex]

This is correct.

Our original equation can be written as:

[tex]A=\frac{1}{2}(\frac{12(3+7)}{1})[/tex]

And if we multiply straight across:

[tex]A=\frac{12(3+7)}{2}[/tex]

We'll get choice A. So choice A is correct.

B)

We have:

[tex]6(3+7)[/tex]

This is also correct.

From our original equation:

[tex]A=\frac{1}{2}(12)\cdot(3+7)[/tex]

If we multiply the first term together:

[tex]A=6(3+7)[/tex]

We'll get choice B. So, choice B is correct.

C)

We have:

[tex]0.5(12)(10)[/tex]

This is correct as well.

If we reduce 1/2 to decimal form and add the operations within the parentheses in the original equation, we will get:

[tex]A=\frac{1}{2}(12)(3+7)\\A=0.5(12)(10)[/tex]

So, C is also correct.

D)

We have:

[tex]\frac{12}{2}\times\frac{10}{2}[/tex]

Note that this is not correct.

This attempted to use the distributive property. However, the distribute property does not work for multiplication. For instance:

[tex]3(2+1)\text{ indeed equals } 3(2)+3(1)[/tex]

However:

[tex]3(2\times1)\text{ does not equal} 3(2)\times3(1)[/tex]

So, choice D is not equivalent.

So choice D is our answer :)

If we evaluate it, we will get 30, in contrast to the 60 of the others.

Answer:

6n2−5n−6

Step-by-step explanation:

Answer:

6n^2-5n-6           (btw "6n^2" means its 6n squared )

Step-by-step explanation:

Use the box Method. (Picture shows the box method)

once your done the simplified answer should be 6n^2-5n-6

Answer:

(3, 10, 17, 24....)

Step-by-step explanation:

f(x) =  7x - 4

x = 1:

f(1) = 7*1 - 4 = 7 - 4 = 3

x = 2:

f(2) = 7*2 - 4 = 14 - 4 = 10

x = 3

f(3) = 7*3 - 4 = 21 - 4 = 17

then the sequence is:

(3, 10, 17, 24.....)

Answer:

3

Step-by-step explanation:

[tex] \frac{j}{4} = \frac{12}{4} = 3[/tex]

4*3=12

3*4=12

12/4=3

12/3=4

Hope this helps ;) ❤❤❤

Answer:

We need to evaluate [tex]\frac{j}{4}[/tex] for j = 12.

First, we need to replace j by 12 on [tex]\frac{j}{4}[/tex], so we get [tex]\frac{12}{4}[/tex] and now, we only need to divide:

[tex]\frac{12}{4}=3[/tex]

So the result is 3

Answer:

58

Step-by-step explanation:

If k = 6 and j = 2 all you have to do is plug in the numbers

So

5 x 6 x 2 - 2

and then you think of PEMDAS

so multiplication comes first  so

5 x 6 x2 = 60 and then

60 - 2 = 58

Answer:

$1615

Step-by-step explanation:

500(1+.05/1)^24

500(1+.05)^24

500*1.05^24

500*3.23

1615